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New fixed point theorem on <i>G</i>-metric spaces via ω-distance
- Kumam, Poom;
- Cho, Yeol Je;
- Mongkolkeha, Chirasak
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0초록
The purpose of this paper is to guarantee the existence of new fixed point result for (alpha,psi,omega)(G)-contractive mapping in complete G-metric spaces via omega-distances. Also, we apply our results to the existence result of nonlinear matrix equation which is studied by Gao (J Appl Math Comput 50:109-116, 2016). Finally, we apply our results to prove the existence of Hermitian positive definite solutions for nonlinear matrix equations with some examples and numerical experiments for our results.
키워드
Fixed point; G-metric spaces; Hermitian matrix; Nonlinear matrix equations; omega-Distance; POSITIVE-DEFINITE SOLUTIONS; NONLINEAR MATRIX EQUATIONS; CONTRACTIVE TYPE
- 제목
- New fixed point theorem on <i>G</i>-metric spaces via ω-distance
- 저자
- Kumam, Poom; Cho, Yeol Je; Mongkolkeha, Chirasak
- 발행일
- 2024-12
- 유형
- Article; Early Access
- 저널명
- Journal of Analysis
- 권
- 33
- 호
- 2
- 페이지
- 769 ~ 794